Her first name is not known & neither are the parents of her husband. Unless there’s been something more recent than this:
https://archive.org/details/notablesouthernf03arms/page/20/mode/2up...
JOHN COCKRILL THE EMIGRANT
J OHN COCKRILL the emigrant was of Scotch parentage, though born in Wales about 1740. He came to America with Braddock’s command but did not return to England with the remnants of that ill fated company, preferring to make his home in the new settlement. He settled in Richmond County, Va., where he became a large planter.
In October of 1756 he enlisted with Captain Henry Harrison’s company in response to the call of Governor Dinwiddie for volun- teers in the French and Indian Wars. In the record of his enlistment he is described as being five feet eleven inches tall and with brown hair and eyes. He is further said to have been a man of good education and pleasing appearance and manner.
He was twice married, the name of his first wife being un- known but by that marriage he had one son, Simon, from whom the Missouri Cockrills are descended. His second wife was a Miss Fox of the famous family of that name. To the second wife was born John Junior, who is commonly called Major John Cockrill to dis- tinguished him from his father, John the Emigrant.
MAJOR JOHN COCKRILL
Major John Cockrill was bom in Virginia, Dec., 19, 1757. He died at Nashville, Tennessee, April 11, 1837.